Why shadows resemble THH: Our main theorem enables us to explain why shadows satisfy many properties that also hold for THH, since it implies that the axioms of a shadow are precisely the conditions required to construct a cocone out of the diagram that defines \(\mathrm {THH}\) . Working in an \(\infty \) -categorical framework, rather than in the context of model categories, facilitated making this connections, since (co)limits of diagrams of \(\infty \) -categories make natural sense [1]}.
